Norm inequalities of exponential type for holomorphic functions

DOI10.2996/kmj/1138036562zbMath0513.30007OpenAlexW2017963961MaRDI QIDQ1050487

Jacob Burbea

Publication date: 1982

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036562

zbMATH Keywords

reproducing kernelfunctional Hilbert spacegeneralized Fischer space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Kernel functions in one complex variable and applications (30C40)

Related Items (6)

Quadratic inequalities deduced from the theory of reproducing kernels ⋮ Exponential inequality for holomorphic functions with finite Dirichlet integrals ⋮ Quadratic inequalities associated with integrals of reproducing kernels ⋮ Weighted norm inequalities for a nonlinear transform ⋮ Inequalities for weighted \(L^ 2\)-functions on the half-line ⋮ Hankel forms on Fock space modulo \(C_ N\)

Cites Work

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• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Total positivity of certain reproducing kernels
• Inequalities for Holomorphic Functions of Several Complex Variables
• On a Hilbert space of analytic functions and an associated integral transform part I
• Some Inequalities for Entire Functions
• A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces
• Certain Hilbert spaces of entire functions
• Theory of Reproducing Kernels

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